Design of Three-Dimensional Vector Guidance Law for Attack Time and Angle under Field of View Angle Constraints

Abstract

In order to enhance the precision of missile strikes on targets, controlling the three-dimensional gui-dance problem involving attack time and attack angle is of significant importance in practical applications. For addressing this problem, this paper proposes a control law for attack time and attack angle under field-of-view constraints based on the three-dimensional vector guidance model. Firstly, by extending the planar vector guidance law to three-dimensional space, it introduces a three-dimensional vector attack angle constrained guidance law. Secondly, incorporating a residual time bias term into the interception component of the above guidance command, it designs a three-dimensional vector guidance law under field-of-view constraints, and performs the stability analysis. This design ensures that the missile can hit the target with the desired attack time and attack angle within the constraints of the field of view, with errors less than 0.01. Finally, the correctness and effectiveness of the designed guidance law are validated through numerical simulations.

Keywords

• |missile|vector guidance law|field of view constraint|attack time constraint|attack angle constraint|coupled nonlinearity